Answer:
(b) 1.7 in
Step-by-step explanation:
The area of a regular polygon in terms of perimeter and apothem is given by the formula ...
A = 1/2Pa
For a hexagon, the perimeter is 6 times the side length, so this becomes ...
A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'
__
Solving for the apothem, we find ...
a = A/(3s)
For the given values of area and side length the apothem is ...
a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches
The apothem, rounded to tenths, is 1.7 inches.
Answer:
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Step-by-step explanation:
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Answer:
this is your answer. look it once
x = longer section
y = shorter section
x + y = 109
x = 2y + 10
so we sub in eq 2 into eq 1
2y + 10 + y = 109
3y + 10 = 109
3y = 109 - 10
3y = 99
y = 99/3
y = 33 <=== shorter section is 33 cm
x = 2y + 10
x = 2(33) + 10
x = 66 + 10
x = 76 <=== longer section is 76 cm
